Solving Linear Equations with Variables on Both Sides of the Equal Sign

3x + 10 + 2x = 2 (x + 8)

Label the two steps in the appropriate spots where they took place.

a

b

Combine like terms

Distributive property

Solve for x:
8x + 2 + 3x + 5 = x + 12

• -1/2

• 2

• -2

• 1/2

Equations with variables on both sides are best solving using....

• Inverse Operations

• Division

• Multiplication

• Parenthesis

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

• 3

• -3

• -5

• 5

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step

• They should add 19 instead of subtracting 19

• I can not find an error

• Instead of adding 3k they should subtract 3k

Solve the following equation for p.

−0.75p − 4 = 0.25p

• p = -4

• p = 4

-5(2x - 9) = 2(x - 8) - 11

• x = -6

• x = 6

• x = 3/2

• x = 18/12

Look on or around page 110, titled "Solving Equations Flip Book". On Step 6: Check Your Answer, the solution is y = 2. When putting 2 in the place of y and solving on both sides of the equal sign, the result is ____________. Fill in the blank with the results you get when checking your answer.

• 30 = 30

• 9y = 18

• 24 = 24

• 2 = 2

Look on or around page 119, titled "Writing Equations with Different Solutions." Which is a correct example of an equation that yields no solution?

• 8x + 24 = 4(2x + 6)

• x + 2x - 4 = 2x + 6

• 8x + 9 = 8x + 10

• 6a - 2a + 3 - 15 = 4a -12

Solve 2y-5=-3y+15

• y=5

• y=4

• y=-5

• y=-4